近期，刘斌教授团队的文章《Well-posedness and invariant measures for the stochastically perturbed Landau-Lifshitz-Baryakhtar equation》在国际期刊《Journal of Differential Equations》正式发表。

  摘要：In this paper, we study the initial-boundary value problem for the stochastic Landau-Lifshitz-Baryakhtar (SLLBar) equation with Stratonovich-type noise in bounded domains O subset of Rd, d = 1, 2, 3. Our main results are summarized as follows. For u0 is an element of IH[1 and d = 1, 2, 3, we establish the existence and uniqueness of a local-in-time pathwise weak solution. For u0 is an element of IH[1 and d = 1, we prove the existence and uniqueness of a global-in-time pathwise weak solution together with at least one invariant measure. For u0 is an element of L2 and d = 1, 2, we obtain the existence and uniqueness of a global-in-time pathwise very weak solution and at least one invariant measure, while for d = 3 we establish only the existence of a martingale solution due to the loss of pathwise uniqueness.

  论文链接: https://www.sciencedirect.com/science/article/pii/S0022039626001014?pes=vor&utm_source=clarivate&getft_integrator=clarivate